23765940 has 96 divisors (see below), whose sum is σ = 80680320. Its totient is φ = 5760000.

The previous prime is 23765927. The next prime is 23765957. The reversal of 23765940 is 4956732.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23765895 and 23765904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3940 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (840420).

Almost surely, 2^23765940 is an apocalyptic number.

23765940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23765940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40340160).

23765940 is an abundant number, since it is smaller than the sum of its proper divisors (56914380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23765940 is a wasteful number, since it uses less digits than its factorization.

23765940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 23765940 is about 4875.0323075853. The cubic root of 23765940 is about 287.5091465269.

The spelling of 23765940 in words is "twenty-three million, seven hundred sixty-five thousand, nine hundred forty".